Schauder frames of discrete translates in $L^p(\mathbb{R})$

Nir Lev, Anton Tselishchev

For every $p>(1+\sqrt{5})/2$ we construct a uniformly discrete real sequence $\{{\lambda }_n{\}}_{n=1}^{\infty }$ satisfying $|{\lambda }_n|=n+o(1)$, a function $g\in L^p(\mathbb{R})$, and conti…